Question 2.1: Intercepts Find the x- andy-intercepts of the graph of y = x......

Intercepts

Find the x- andy-intercepts of the graph of y = x³ – 4x.

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To determine the x-intercepts, let y = 0 and solve for x:

 

0=x^{3}-4x=x(x-2)(x+2)\ .

 

Hence, the x-intercepts are (0,0), (2,0), and (-2,0). To determine the y-intercepts, let x = 0 and solve for y.
In this case, you obtain (0,0).

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